If the lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the length of its each side is :

1. 26 cm

2. 17 cm

3. 15 cm

4. 13 cm

If the opposite angles of a quadrilateral are equal, then it will definitely be a :

1. rectangle

2. square

3. rhombus

4. parallelogram

PQRS is a rhombus in which PQ = 6 cm and ∠PQR = 120°. The length of the diagonal QS is :

1. 6 cm

2. 7 cm

3. 8 cm

4. 11 cm

Rajbeer is a farmer. He has a plot of land in the shape of a quadrilateral ABCD as shown in the figure. In ABCD, AB ∥ CD and AD ∥ BC. He divided the field into two parts, viz, triangle BCE and trapezium CDAE by making an embankment CE such that CE = AD.

Based on the above information, answer the following questions :

1. ABCD is a :
(a) Rectangle
(b) Parallelogram
(c) Square
(d) Trapezium

2. ∠A is equal to :
(a) ∠D
(b) ∠B
(c) ∠C
(d) ∠E

3. ∠DCE is equal to :
(a) ∠E
(b) ∠A
(c) ∠D
(d) ∠B

4. Which of the following is correct?
(a) ΔAEC ≅ ΔEAD
(b) ΔACE ≅ ΔAED
(c) ΔCEA ≅ ΔEAD
(d) none of these

5. Diagonal DE is equal to :
(a) diagonal DB
(b) diagonal AC
(c) DC
(d) BC